Perturbation of regular sampling in shift-invariant spaces for frames

P Zhao, C Zhao, PG Casazza - IEEE Transactions on …, 2006 - ieeexplore.ieee.org
P Zhao, C Zhao, PG Casazza
IEEE Transactions on Information Theory, 2006ieeexplore.ieee.org
Perturbation theorems for regular sampling in shift-invariant spaces are derived using a
generalized perturbation theorem for frames in a Hilbert space, which generalizes the
irregular sampling theorem established by Chen Using this generalized irregular sampling
theorem, estimates for the maximum perturbation are obtained. Some typical examples
illustrate the result
Perturbation theorems for regular sampling in shift-invariant spaces are derived using a generalized perturbation theorem for frames in a Hilbert space, which generalizes the irregular sampling theorem established by Chen Using this generalized irregular sampling theorem, estimates for the maximum perturbation are obtained. Some typical examples illustrate the result
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